Answer:
n ≤ 4
Step-by-step explanation:
-3n + 4 ≥ -8.
Subtract 4 from each side
-3n + 4-4 ≥ -8-4
-3n ≥ -12
Divide by -3 on each side, remembering to flip the inequality
-3n/-3 ≤ -12/-3
n≤4
A Z-score helps us to understand how far is the data from the mean. The Z-score of the learner for ACT is 2.1154, while for SAT is 2.1.
<h3>What is Z-score?</h3>
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
Z = (X-μ)/σ
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
Given the mean for the ACT score is 21, while the standard deviation is 5.2, therefore, the Z-score for the ACT composite score will be,
Z = (32-21)/5.2 = 2.1154
Similarly, given the mean for the SAT score is 516, while the standard deviation is 116, therefore, the Z-score for the SAT composite score will be,
Z = (760-516)/116 = 2.1
Hence, the Z-score of the learner for ACT is 2.1154, while for SAT is 2.1.
Learn more about Z-score:
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Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.
Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:
Plug the numbers in to find c, the length of your path! So
